Page 301 - Area 9 - Relevant Document

48

 Subject the experimental data to the ANOVA(Analysis of Variance).
PROCEED to the next step (LSD Test) when the F – test is
significant
 Use the formula below:
LSD (.05) = (t .05) ( S__) where S__ = 2EMS /t

dd r

LSD (.01) = (t .01) ( S_)

d

WHERE: S__ = Standard error of the mean difference

d

EMS = Error Mean Square from the ANOVA table
t = tabular value of t at a level of significance of a specific error df

r = number of replications

 SOLVE FOR THE CRITICAL VALUES OF THE TEST

LSD .05 = 2.179 (0.285) = 0.621
LSD .01 = 3.055 ( 0.285) = 0.871

S_ = 2(0.163) = 0.285
d 4
 COMPARE the computed LSD value with the observed difference
between two specific means
a. The difference is SIGNIFICANT when the LSD value at a
prescribed level is of significance is equal or lower than the
mean difference =
 the two means are judged as significantly different from
each other
 * * 2 asterisks when LSD value is equal or bigger than
computed LSD
 value at 1% level
 * one asterisk is used when the LSD value is equal or
bigger than the computed LSD value at 5% level

b. If LSD value is larger than the observed difference = two
means are not significantly different from each other